A series `LCR` circuit with `R = 20 Omega, L = 1.5 H` and `C = 35 mu F` is connected to a variable frequency `200 V` ac supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power in `kW` transferred to the circuit in one complete cycle?

A series `LCR` circuit with `R = 20 Omega, L = 1.5 H` and `C = 35 mu F

1.	A series `LCR` circuit with `R = 20 Omega, L = 1.5 H` and `C = 35 mu F` is connected to a variable frequency `200 V` ac supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power in `kW` transferred to the circuit in one complete cycle?
Answer» At resonance, the frequency of the supply power equals the natural frequency of the given LCR circuit. Resistance, `R=20Omega` Inductance, L=1.5H Capacitance, `C=35muF=30xx10^(-6)F` AC supply voltage to the LCR circuit, V=200V Impedance of the circuit is given by the relation. `Z=sqrt(R^(2)=(omegaL-(1)/(omegaC))^(2)) ` At resonance, ` omegaL(1)/( omegaC)` `thereforeZ=R20Omega` Current in the circuit can be calculated as: `I=(v)/(Z)` `=(200)/(20)=10A` Hence, the average power tranferred to the circuit in one complete cycle =VI `=200xx10=2000W`.

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A series `LCR` circuit with `R = 20 Omega, L = 1.5 H` and `C = 35 mu F` is connected to a variable frequency `200 V` ac supply. When the frequency of the supply equals the natural frequency of the circuit, what is the average power in `kW` transferred to the circuit in one complete cycle?

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